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Mirrors > Home > QLE Home > Th. List > wlem14 | Unicode version |
Description: Lemma for KA14 soundness. |
Ref | Expression |
---|---|
wlem14 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-t 41 | . . . 4 | |
2 | 1 | ax-r1 35 | . . 3 |
3 | ax-a2 31 | . . . 4 | |
4 | 3 | bi1 118 | . . 3 |
5 | 2, 4 | wwbmpr 206 | . 2 |
6 | df-t 41 | . . . . . . . 8 | |
7 | 6 | ax-r1 35 | . . . . . . 7 |
8 | 7 | bi1 118 | . . . . . 6 |
9 | 8 | wlan 370 | . . . . 5 |
10 | anidm 111 | . . . . . . . . . . 11 | |
11 | 10 | bi1 118 | . . . . . . . . . 10 |
12 | 11 | wr1 197 | . . . . . . . . 9 |
13 | wleo 387 | . . . . . . . . . 10 | |
14 | wleo 387 | . . . . . . . . . 10 | |
15 | 13, 14 | wle2an 404 | . . . . . . . . 9 |
16 | 12, 15 | wbltr 397 | . . . . . . . 8 |
17 | 16 | wlecom 409 | . . . . . . 7 |
18 | 17 | wcomcom3 416 | . . . . . 6 |
19 | 17 | wcomcom4 417 | . . . . . 6 |
20 | 18, 19 | wfh1 423 | . . . . 5 |
21 | an1 106 | . . . . . 6 | |
22 | 21 | bi1 118 | . . . . 5 |
23 | 9, 20, 22 | w3tr2 375 | . . . 4 |
24 | 23 | wlor 368 | . . 3 |
25 | 24 | wlor 368 | . 2 |
26 | 5, 25 | wwbmpr 206 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wo 6 wa 7 wt 8 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-wom 361 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i1 44 df-i2 45 df-le 129 df-le1 130 df-le2 131 df-cmtr 134 |
This theorem is referenced by: (None) |
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